4.1 - 4.4 Quiz Review

• A relative maximum at x=a

• A relative minimum at x=a

• No relative extrema at x=a

• A vertical tangent line at x=a

• True

• False

• 0; -5

• -5; 0

• 2; -1

• -1; 2

Over what interval(s) is f(x) decreasing?

• (-3, 1)
• (-∞, -5) ∪ (0, 2)
• (-∞, -3) ∪ (1, ∞)
• (-5, 0) ∪ (2, ∞)

Use the sign chart for f'(x).  There is(are) ...

• a local maximum at x = -2.
• a local minimum at
  x = -2 and a local maximum at x = 4.
• a local maximum at
  x = -2 and a local minimum at x = 4.
• no extrema.

• local maximum at x = -4 and local minimum at x = 4

• local maximum at x = -4 (no local minimum)
• local minimum at x = 4 (no local maximum)
• no local maximum or local minimum

Use the sign chart for f'(x).
There is(are) ...

• a local maximum at x = -2.
• a local maximum at x = 4.
• local maxima at x = -2 and x = 4.
• no extrema.

How do I find a critical point on f(x)?

• When f'(x) = 0

• When f'(x) = 0 or is undefined

• When f'(x) is undefined

• When f''(x) = 0

If f'(x) > 0, then f(x) is

• Concave Up

• Concave Down

• Increasing

• Decreasing

If f''(x) > 0, the curve is...

• Concave Up

• Concave Down

• Increasing

• Decreasing